3738208896 has 96 divisors (see below), whose sum is σ = 10790126100. Its totient is φ = 1242243072.

The previous prime is 3738208891. The next prime is 3738208919. The reversal of 3738208896 is 6988028373.

It can be written as a sum of positive squares in 2 ways, for example, as 3556929600 + 181279296 = 59640^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383410 + ... + 393038.

Almost surely, 2^3738208896 is an apocalyptic number.

3738208896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395063050).

3738208896 is an abundant number, since it is smaller than the sum of its proper divisors (7051917204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3738208896 is a wasteful number, since it uses less digits than its factorization.

3738208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3738208896 is about 61140.8938109348. The cubic root of 3738208896 is about 1551.9862010322.

The spelling of 3738208896 in words is "three billion, seven hundred thirty-eight million, two hundred eight thousand, eight hundred ninety-six".